Answer:
Yes, (6, -2) is a solution to the given system of equations.
Step-by-step explanation:
Please write y = –1/6 x − 1 y = 1/6 x − 3 as follows, for greater clarity:
y = (–1/6)x − 1
y = (1/6)x − 3
Let's actually solve this system:
y = (–1/6)x − 1
y = (1/6)x − 3
-----------------------
2y = -4, or y = -2
Now find x. Arbitrarily we choose to use the first equation for this purpose:
y = (-1/6)x - 1. We set y = -2 and find x: -2 = (-1/6)x - 1
Combining the constants, we get -1 = (-1/6)x, or 6 = x
Yes, (6, -2) is a solution to the given system of equations.
The answer is 267.65
A = P(1 + r/n)ⁿˣ
A - the future value
P - the principal
r - the annual rate
n - the number of compoundings per year
x - the period of time
We know:
A = ?
P = $200
r = 6% = 6%/100% = 0.06
n = 1 (annualy means once per year)
x = 5
A = P(1 + r/n)ⁿˣ
A = 200 * (1 + 0.06/1)¹*⁵
A = 200 * (1 + 0.06)⁵
A = 200 * (1.06)⁵
A = 267.65
20x2 = 40 tip
240-40 = 200 rent for 2 busses
240/2 = 100 $ they can spend on each bus rental.
Answer:
start at (0,2) go up one over 3 to the right, and down 1 over 3 to the left
The area can be found out by multiplying the length and the breadth and also by adding the boxes.
Mathematically,
(4+5+4+7)× 10
or
L×B = r + g + w + b
or
L×B = 3r + w
therefore
L×B is a multiplication expression.
Total number of boxes along the length = L= 20= 4+5+4+7
Total number of boxes along the breadth= B= 10
Total area or total number of boxes = L×B= 20×10=200
Total number of boxes= N= 200
Number of red boxes = r = 46
Number of green boxes = g = 46
Number of blue boxes = b = 46
Number of white boxes= w= 62
Mathematically,
N= r+ g + w + b
but r = g = b
therefore
N= 3r + w
N= r + g + w + b
L×B= N
or
L×B = r + g + w + b
L×B = 3r + w
A multiplication expression is one which has variables or numbers being multiplied.
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